| 1. |
The sum of deviations of observations from their arithmetic mean: |
| A. | Maximum |
| B. | Least |
| C. | Zero |
| D. | None of these |
| Answer» C. Zero | |
| 2. |
The sum of absolute deviations is minimum when taken from: |
| A. | Mean |
| B. | Median |
| C. | Mode |
| D. | None of these |
| Answer» B. Median | |
| 3. |
The sum of squared deviations is minimum when taken from: |
| A. | Mean |
| B. | Median |
| C. | Mode |
| D. | None of these |
| Answer» A. Mean | |
| 4. |
What is the median of 33, 86, 68, 32, 80, 48, 70? |
| A. | 32 |
| B. | 68 |
| C. | 80 |
| D. | 86 |
| Answer» B. 68 | |
|
Explanation: To find the median of a set of numbers, you first need to order the numbers in ascending or descending order. {32, 33, 48, 68, 70, 80, 86} The median is the middle value when a data set has an odd number of observations. The middle value of 7 numbers is the 4th one, which is 68. So, the median of this set is 68. |
|
| 5. |
In a moderately skewed distribution, the value of mean is 16 and that of mode is 25. |
| A. | 20 |
| B. | 19 |
| C. | 21 |
| D. | None of these |
| Answer» B. 19 | |
| 6. |
In a moderately skewed distribution, the following equation indicates the relationship among mean, median and mode: |
| A. | Mean = 2 Mode - 3 Median |
| B. | Mode = 3 Median – 2 Mean |
| C. | Median = 3 Mean – 2 Mode |
| D. | None of these |
| Answer» B. Mode = 3 Median – 2 Mean | |
| 7. |
For a symmetrical distribution, Q1 and Q3 are 20 and 60 respectively. The value of median will be: |
| A. | 20 |
| B. | 30 |
| C. | 40 |
| D. | 50 |
| Answer» C. 40 | |
| 8. |
The variate values which divide a series into ten equal parts are called: |
| A. | Quartiles |
| B. | Deciles |
| C. | Percentiles |
| D. | None of these |
| Answer» B. Deciles | |
| 9. |
From which average, the sum of deviations is zero? |
| A. | Mean |
| B. | Median |
| C. | Mode |
| D. | None of these |
| Answer» A. Mean | |
| 10. |
The average to be used to determine the average size of the shoe sold in a shop is: |
| A. | Mean |
| B. | Median |
| C. | Mode |
| D. | None of these |
| Answer» C. Mode | |
| 11. |
Find the Mode of 5, 3, 27, 5, 9, 3, 8, 5: |
| A. | 5 |
| B. | 27 |
| C. | 9 |
| D. | 3 |
| Answer» A. 5 | |
| 12. |
In a moderately asymmetrical distribution, the value of mean is 75 and the value of mode is 60: |
| A. | 75 |
| B. | 70 |
| C. | 85 |
| D. | 80 |
| Answer» B. 70 | |
| 13. |
Given Mean = 70.2 and mode = 70.5. Find the median using empirical relationship among them. |
| A. | 120 |
| B. | 150 |
| C. | 180 |
| D. | 300 |
| Answer» B. 150 | |
| 14. |
In a moderately skewed distribution, the value of mode is 120 and that of median is 140. Find the value of arithmetic mean. |
| A. | 150 |
| B. | 160 |
| C. | 170 |
| D. | 180 |
| Answer» A. 150 | |
| 15. |
The arithmetic mean of the marks obtained by 50 students was calculated as 44. It was later discovered that a score of 36 was misread as 56. Find the correct value of arithmetic mean of the marks obtained by the students. |
| A. | 43 |
| B. | 43.6 |
| C. | 45 |
| D. | 50 |
| Answer» B. 43.6 | |
| 16. |
The marks obtained by 9 students in a test are 25, 20, 15, 45, 18, 7, 10, 38 and 12. Find the median. |
| A. | 38 |
| B. | 20 |
| C. | 18 |
| D. | 15 |
| Answer» C. 18 | |
| 17. |
In a moderately asymmetrical distribution, the mode and mean are 32.1 and 35.4 respectively. Calculate the median. |
| A. | 35 |
| B. | 34.3 |
| C. | 36 |
| D. | 37 |
| Answer» B. 34.3 | |
| 18. |
In a moderately skewed distribution, the mode and median are 20 and 24 respectively. Calculate the value of mean. |
| A. | 27 |
| B. | 26 |
| C. | 25 |
| D. | 28 |
| Answer» B. 26 | |
| 19. |
The mean weight of 150 students in a class is 60 Kg. The mean weight of Boy students is 70 Kg and that of a girl students is 55 kg. Find the number of Boys and Girls in the class. |
| A. | 50 and 100 |
| B. | 100 and 50 |
| C. | 150 and 200 |
| D. | 200 and 150 |
| Answer» A. 50 and 100 | |
| 20. |
A distribution consists of three components with total frequencies of 200, 250 and 300 having means 25, 10 and 15 respectively. Find the mean of the combined distribution. |
| A. | 17 |
| B. | 16 |
| C. | 15 |
| D. | 20 |
| Answer» B. 16 | |
| 21. |
The arithmetic mean is 12 and the number of observations are 20 then the sum of all the values is |
| A. | 8 |
| B. | 32 |
| C. | 240 |
| D. | 1.667 |
| Answer» C. 240 | |
| 22. |
The method used to compute average or central value of the collected data is considered as |
| A. | measures of positive variation |
| B. | measures of central tendency |
| C. | measures of negative skewness |
| D. | measures of negative variation |
| Answer» B. measures of central tendency | |
| 23. |
The mean or average used to measure central tendency is called |
| A. | sample mean |
| B. | arithmetic mean |
| C. | negative mean |
| D. | population mean |
| Answer» B. arithmetic mean | |
| 24. |
If the mean of percentages, rates and ratios is to be calculated then the central tendency measure which must be used in this situation is |
| A. | weighted arithmetic mean |
| B. | paired arithmetic mean |
| C. | non-paired arithmetic mean |
| D. | square of arithmetic mean |
| Answer» A. weighted arithmetic mean | |
| 25. |
In the quartiles, the central tendency median to be measured must lie in |
| A. | first quartile |
| B. | second quartile |
| C. | third quartile |
| D. | four quartile |
| Answer» B. second quartile | |